Answer:
The fraction is 1/6.
Step-by-step explanation:
In two hours, there are six 20 minute intervals. One interval of them would be 1/6.
Suppose a,b,c represent three positive whole numbers. if a+b=13 and b+c=22 and a+c=19 what is the value of c
Answer: C = 14
Step-by-step explanation: You can assume the A is less than B, and if you just go down in numbers such as A=6 and B=7 (To solve A + B = 13), you will eventually get to A=5 and B=8. If you do B = 8 + C = 14 ( That you get after subtracting 8 by 22 ) You should get 22, and to proof check it, you do A + C which is going to be 5 + 14 and you get 19 thus proving that C = 14.
On a number line, between which two consecutive whole numbers would the square root of 277 be located
9514 1404 393
Answer:
16 and 17
Step-by-step explanation:
16² = 256
(√277)² = 277
17² = 289
The root of 277 is between 16 and 17.
Write an ordered pair that is a solution to the equation of the line y=x+5
Answer:
(1,6)
(2,7)
(4,9)
(8,13)
Step-by-step explanation:
The graph of f(x)= 3/1+x^2 is shown in the figure to the right. Use the second derivative of f to find the intervals on which f is concave upward or concave downward and to find the inflection points of f.
Answer:
Concave Up Interval: [tex](- \infty,\frac{-\sqrt{3} }{3} )U(\frac{\sqrt{3} }{3} , \infty)[/tex]
Concave Down Interval: [tex](\frac{-\sqrt{3} }{3}, \frac{\sqrt{3} }{3} )[/tex]
General Formulas and Concepts:
Calculus
Derivative of a Constant is 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Second Derivative Test:
Possible Points of Inflection (P.P.I) - Tells us the possible x-values where the graph f(x) may change concavity. Occurs when f"(x) = 0 or undefinedPoints of Inflection (P.I) - Actual x-values when the graph f(x) changes concavityNumber Line Test - Helps us determine whether a P.P.I is a P.IStep-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{3}{1+x^2}[/tex]
Step 2: Find 2nd Derivative
1st Derivative [Quotient/Chain/Basic]: [tex]f'(x)=\frac{0(1+x^2)-2x \cdot 3}{(1+x^2)^2}[/tex]Simplify 1st Derivative: [tex]f'(x)=\frac{-6x}{(1+x^2)^2}[/tex]2nd Derivative [Quotient/Chain/Basic]: [tex]f"(x)=\frac{-6(1+x^2)^2-2(1+x^2) \cdot 2x \cdot -6x}{((1+x^2)^2)^2}[/tex]Simplify 2nd Derivative: [tex]f"(x)=\frac{6(3x^2-1)}{(1+x^2)^3}[/tex]Step 3: Find P.P.I
Set f"(x) equal to zero: [tex]0=\frac{6(3x^2-1)}{(1+x^2)^3}[/tex]Case 1: f" is 0
Solve Numerator: [tex]0=6(3x^2-1)[/tex]Divide 6: [tex]0=3x^2-1[/tex]Add 1: [tex]1=3x^2[/tex]Divide 3: [tex]\frac{1}{3} =x^2[/tex]Square root: [tex]\pm \sqrt{\frac{1}{3}} =x[/tex]Simplify: [tex]\pm \frac{\sqrt{3}}{3} =x[/tex]Rewrite: [tex]x= \pm \frac{\sqrt{3}}{3}[/tex]Case 2: f" is undefined
Solve Denominator: [tex]0=(1+x^2)^3[/tex]Cube root: [tex]0=1+x^2[/tex]Subtract 1: [tex]-1=x^2[/tex]We don't go into imaginary numbers when dealing with the 2nd Derivative Test, so our P.P.I is [tex]x= \pm \frac{\sqrt{3}}{3}[/tex] (x ≈ ±0.57735).
Step 4: Number Line Test
See Attachment.
We plug in the test points into the 2nd Derivative and see if the P.P.I is a P.I.
x = -1
Substitute: [tex]f"(x)=\frac{6(3(-1)^2-1)}{(1+(-1)^2)^3}[/tex]Exponents: [tex]f"(x)=\frac{6(3(1)-1)}{(1+1)^3}[/tex]Multiply: [tex]f"(x)=\frac{6(3-1)}{(1+1)^3}[/tex]Subtract/Add: [tex]f"(x)=\frac{6(2)}{(2)^3}[/tex]Exponents: [tex]f"(x)=\frac{6(2)}{8}[/tex]Multiply: [tex]f"(x)=\frac{12}{8}[/tex]Simplify: [tex]f"(x)=\frac{3}{2}[/tex]This means that the graph f(x) is concave up before [tex]x=\frac{-\sqrt{3}}{3}[/tex].
x = 0
Substitute: [tex]f"(x)=\frac{6(3(0)^2-1)}{(1+(0)^2)^3}[/tex]Exponents: [tex]f"(x)=\frac{6(3(0)-1)}{(1+0)^3}[/tex]Multiply: [tex]f"(x)=\frac{6(0-1)}{(1+0)^3}[/tex]Subtract/Add: [tex]f"(x)=\frac{6(-1)}{(1)^3}[/tex]Exponents: [tex]f"(x)=\frac{6(-1)}{1}[/tex]Multiply: [tex]f"(x)=\frac{-6}{1}[/tex]Divide: [tex]f"(x)=-6[/tex]This means that the graph f(x) is concave down between and .
x = 1
Substitute: [tex]f"(x)=\frac{6(3(1)^2-1)}{(1+(1)^2)^3}[/tex]Exponents: [tex]f"(x)=\frac{6(3(1)-1)}{(1+1)^3}[/tex]Multiply: [tex]f"(x)=\frac{6(3-1)}{(1+1)^3}[/tex]Subtract/Add: [tex]f"(x)=\frac{6(2)}{(2)^3}[/tex]Exponents: [tex]f"(x)=\frac{6(2)}{8}[/tex]Multiply: [tex]f"(x)=\frac{12}{8}[/tex]Simplify: [tex]f"(x)=\frac{3}{2}[/tex]This means that the graph f(x) is concave up after [tex]x=\frac{\sqrt{3}}{3}[/tex].
Step 5: Identify
Since f"(x) changes concavity from positive to negative at [tex]x=\frac{-\sqrt{3}}{3}[/tex] and changes from negative to positive at [tex]x=\frac{\sqrt{3}}{3}[/tex], then we know that the P.P.I's [tex]x= \pm \frac{\sqrt{3}}{3}[/tex] are actually P.I's.
Let's find what actual point on f(x) when the concavity changes.
[tex]x=\frac{-\sqrt{3}}{3}[/tex]
Substitute in P.I into f(x): [tex]f(\frac{-\sqrt{3}}{3} )=\frac{3}{1+(\frac{-\sqrt{3} }{3} )^2}[/tex]Evaluate Exponents: [tex]f(\frac{-\sqrt{3}}{3} )=\frac{3}{1+\frac{1}{3} }[/tex]Add: [tex]f(\frac{-\sqrt{3}}{3} )=\frac{3}{\frac{4}{3} }[/tex]Divide: [tex]f(\frac{-\sqrt{3}}{3} )=\frac{9}{4}[/tex][tex]x=\frac{\sqrt{3}}{3}[/tex]
Substitute in P.I into f(x): [tex]f(\frac{\sqrt{3}}{3} )=\frac{3}{1+(\frac{\sqrt{3} }{3} )^2}[/tex]Evaluate Exponents: [tex]f(\frac{\sqrt{3}}{3} )=\frac{3}{1+\frac{1}{3} }[/tex]Add: [tex]f(\frac{\sqrt{3}}{3} )=\frac{3}{\frac{4}{3} }[/tex]Divide: [tex]f(\frac{\sqrt{3}}{3} )=\frac{9}{4}[/tex]Step 6: Define Intervals
We know that before f(x) reaches [tex]x=\frac{-\sqrt{3}}{3}[/tex], the graph is concave up. We used the 2nd Derivative Test to confirm this.
We know that after f(x) passes [tex]x=\frac{\sqrt{3}}{3}[/tex], the graph is concave up. We used the 2nd Derivative Test to confirm this.
Concave Up Interval: [tex](- \infty,\frac{-\sqrt{3} }{3} )U(\frac{\sqrt{3} }{3} , \infty)[/tex]
We know that after f(x) passes [tex]x=\frac{-\sqrt{3}}{3}[/tex] , the graph is concave up until [tex]x=\frac{\sqrt{3}}{3}[/tex]. We used the 2nd Derivative Test to confirm this.
Concave Down Interval: [tex](\frac{-\sqrt{3} }{3}, \frac{\sqrt{3} }{3} )[/tex]
Find the value of the variable, x
Group of answer choices
6
3
15
5
Answer:
I think you might have a mistake for the numbers you put there.
But the answer is about 15
Step-by-step explanation:
I did the calculation and got 14, but 15 is the closeest answer
the number of employees for a certain company has been decreasing each year by 5%. if the company has 540 employees and this rate continues, find the number of employees in 13 years.
Answer:
Step-by-step explanation:
540
1=513
2=487.35
3=462.9825
4=
5=
6=
7=
8=
9=
10=
11=
12=
13=
1. Matthew decided that he would like to spend his summer working and saving his money. He begins the summer with no money in his account, but he is getting paid $160.00 per week to mow lawns. His brother Dillon began the summer with $345.00 and has decided that he will referee soccer games. He will make $45.00 per week. After how many weeks will Matthew and Dillon have the same amount of money?
the anwer is no matthew will not have the same amount of money
Answer: 3 weeks.
Step-by-step explanation: Matthew's pay goes up by $160 a week, so that's y=160x.
Dillon's pay is $45 a week, but started out with $345. So, that's y=45x+345.
So, they will have the same amount of money after 3 weeks.
The tree in Lisa’s backyard is 7.4 m high. How high is it in centimeters?
Answer:
740 cm
Step-by-step explanation:
Answer: 740 centimeters
Step-by-step explanation:
All you have to do is multiply the length value by 100 giving you 740.
Juan is 1 1/4 feet shorter than maria.maria is 1/3 foot taller than Luis. if Luis is 62 inches tall, how tall are maria and Juan.
Answer:
Maria is 58 inches tall and Juan is 42 inches
Step-by-step explanation:
Just for you :) happy thanksgiving
Answer:
thksss and happy thanksgiving to you 2
Step-by-step explanation:
8) Eugene borrows $250 at a 4% annual interest rate. If he does not
make any payments, how much simple interest will he owe in 18 months?
A) $10
B) $15
C) $18
D) $20
Answer:
The simplest interest will be $15 ⇒ B
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
P is the initial amountr is the rate in decimalt is the time∵ Eugene borrows $250 at a 4% annual interest rate
∴ P = 250
∴ r = 4% = 4 ÷ 100 = 0.04
∵ The time is 18 months
→ Change the time to year because the rate is annual
∵ 1 year = 12 months
∴ t = 18 ÷ 12 = 1.5 years
→ Substitute the values of P, r, and t in the rule above to find the interest
∵ I = 250 × 0.04 × 1.5
∴ I = 15
∴ The simplest interest will be $15
Nicole is making a cake that uses 3/4 cup of flour and 1 and 1/8 teaspoons if nicole uses 1 cup of flour how much salt would she need
Answer:
1.5 teaspoons
Step-by-step explanation:
1/(3/4)
=4/3
9/8*4/3
=1.5 teaspoons
PLS GIVE BRAINLIEST
Write the following in Scientific Notation. -18,500,000,000,000
Answer:
Its 1.85 x 10 to the 13th power
Step-by-step explanation:
What is 19,998 divided by 1,000,000,000,000,000,000,000,000,000,000,000
Answer:
1.9998e-29
Step-by-step explanation:
A certain fraction has the value 3/4. If its numerator is decreased by 7 and its denominator is increase by 4, the resulting fraction has the value 1/2. Find the original fraction
Answer:
n = 16 - 7
n = 9
Step-by-step explanation:
If the numerator of a fraction is increased by 3, the fraction becomes 3/4."
Cross multiply
4(n+3) = 3d
4n + 12 = 3d
"If the denominator is decreased by 7, the fraction becomes 1."
Cross multiply
1n = d - 7
n = (d-7)
In the 1st equation replace n with d-7
4(d-7) + 12 = 3d
4d - 28 + 12 = 3d
4d - 3d - 16 = 0
d = 16 is the denominator
then n = 16 - 7
n = 9
9/16 = the original equation
3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6%
interest. If the total interest for the year is $170, then how much is invested in each account?
Let, amount invested in first account is x.
So, amount invested in second account is ( 5000 - x ).
Now,
Total interest = Interest from 1 + Interest from 2
170 = x × 0.01 × 1 + ( 5000 - x ) × 0.06 × 1
17000 = x + 6( 5000 - x )
17000 = x + 30000 - 6x
5x = 30000 - 17000
x = $2600
Therefore, money invested in first and second account is $2600 and $2400.
Hence, this is the required solution.
Can someone help me simplify this!!!
Answer:
The answer is in the picture i put, its an equation so 8 can't write it
help pls :)))))))))))))))))
Answer:
I think all measure can be used.
a small airplane flies 1 015miles with an average speed of 290 mph. 1.75 hours after the plane leaves, a Boeing 747 leaves from the same point. Both planes arrive at the same time; what was the average speed of Boeing 747?
Answer:
The Boeing 747 had an average speed of 580 mph.
Step-by-step explanation:
Constant speed motion
An object is said to travel at constant speed if the ratio of the distance traveled by the time taken is constant.
Expressed in a simple equation, we have:
[tex]\displaystyle v=\frac{d}{t}[/tex]
Where
v = Speed of the object
d = Distance traveled
t = Time taken to travel d.
From the equation above, we can solve for d:
d = v . t
And we can also solve it for t:
[tex]\displaystyle t=\frac{d}{v}[/tex]
The small airplane travels 1015 miles at a constant speed of v=290 miles/hour. The time it took to arrive its destiny was:
[tex]\displaystyle t=\frac{1015}{290}[/tex]
t = 3.5 hours
The Boeing 747 left from the same point 1.75 hours after the small plane and traveled the same distance. It needed a time t' = 3.5 - 1.75 = 1.75 hours, thus its speed must have been:
[tex]\displaystyle v=\frac{1015}{1.75}=580[/tex]
The Boeing 747 had an average speed of 580 mph.
The process for rationalizing a denominator in a variable expression is the same as in a numeric expression. Here’s a real-world example. The kinetic energy of the car of a rollercoaster is given by the formula k = one-half m v squared where k is kinetic energy, m is the mass of the car, and v is the velocity of the car. Solving this formula for v, we get v = StartRoot StartFraction 2 k Over m EndFraction EndRoot Which formula gives the velocity of the car in simplest form?
Answer:
It's B
Step-by-step explanation:
Got it right on EDGE2020
The value of velocity of the car will be v = √(2km) / m. Then the correct option is B.
What is kinetic energy?If the object of mass m is moving with speed v. Then the kinetic energy of the object will be
KE = (1/2) mv²
The process for rationalizing a denominator in a variable expression is the same as in a numeric expression.
Here’s a real-world example.
The kinetic energy of the car of a rollercoaster is given by the formula
k = 1/2 m v²
Where k is kinetic energy, m is the mass of the car, and v is the velocity of the car.
Solving this formula for v, we get
[tex]\rm v = \sqrt{\dfrac{2k}{m}}[/tex]
Simplify the equation, we have
[tex]\rm v = \sqrt{\dfrac{2km}{m^2}}\\\rm v = \dfrac{\sqrt{2km}}{m}[/tex]
Then the correct option is B.
The complete question is attached below.
More about the kinetic energy link is given below.
https://brainly.com/question/12669551
#SPJ2
Select the choice that translates the following verbal phrase correctly to algebra: (2 points)
the difference of m and 7 increased by 15
a.) m − (7 + 15)
b.) 7m + 15
c.) (m − 7) + 15
d.) m − 7 ÷ 15
I need help on this...
Answer:
The answer would be C.
Step-by-step explanation:
X is greater than and equal to -2. So it would be a closed circle and it would be going to the right.
Answer:
C
Step-by-step explanation:
when x is greater than AND equal to -2
the numberline will show a closed circle on -2 and a line to the right (because greater than means positive and all numbers to the right increase)
there are 3 arms for every 2 eyes. If there are 6 eyes, how many arms are there?
Answer:
There are 9 arms.
Step-by-step explanation:
Every quadrilateral is a rhombus true or false
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
. 。 • ﾟ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
ﾟ Josie was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Stealth Bank has deposits of $700 million. It holds reserves of $70 million and has purchased government bonds worth $215 million. The bank's loans have a market value of $490 million. What does Stealth Bank's net worth, or equity capital, equal?
Answer:
$75 million
Step-by-step explanation:
Given that:
Reserve value = $70 million
Purchased government bond = 215 million
Market value of loan = $490 million
Net worth :
Assets - liability
Assets = (Market value of loan + purchased government bond + reserve value)
(490 million + 215 million + 70 million)
275 million + 70 million
= $775 million
Liability = Deposits = $700 million
Net worth = ($775 - $700) million
Net worth = $75 million
What fraction is equivalent to .9?
Answer:
9/100
Step-by-step explanation:
00.9=9/100
9%
000000
000000
000
Bryce had a $25 gift card to use on songs and games at an online media store. Songs cost $2 each and games cost $5 each. Bryce spent all the money on the gift card to download 8 items. Solve the system to determine how many games he purchased. Let s represent the number of songs and g represent the number of games. s + g = 8 2s + 5g = 25 Bryce purchased games.
Answer:
Bryce purchased 3 games.
Step-by-step explanation:
To find the number of songs and games that Bryce downloaded, we need to solve the following system of equations:
s + g = 8
2s + 5g = 25
We know that:
s + g = 8 → 2s + 2g = 16 → 2s = 16 -2g
2s + 5g = 25 → 16 - 2g + 5g = 25
→3g = 25 - 16
→3g = 9
→ g = 3
Therefore, bryce downloaded 3 games and 5 songs!
Answer:
.
3x + 2y = 16,
Step-by-step explanation:
what is one thousandth less than 0.061
Answer:
0.06
Step-by-step explanation:
0.061 - 0.001 = 0.060 = 0.06
10 1/8 - 3 5/6=.......?
Answer:
6 7/24
Step-by-step explanation:
Pls help me in these questions i will mark u brainliest.
Answer:
each angle is 83
Step-by-step explanation:
166÷ 2 = 83
check
83+83=166
hope it helps!!
Answer:
sum of two vertically angle =166°
X=166°/2 = 83°.
hence, each angle is equal to 83°.
X=